A066662 Shortest leg of a Pythagorean triangle with a hypotenuse of length 5n.

3, 6, 9, 12, 7, 18, 21, 24, 27, 14, 33, 36, 16, 42, 21, 48, 13, 54, 57, 28, 63, 66, 69, 72, 35, 32, 81, 84, 17, 42, 93, 96, 99, 26, 49, 108, 57, 114, 48, 56, 45, 126, 129, 132, 63, 138, 141, 144, 147, 70, 39, 64, 23, 162, 77, 168, 171, 34, 177, 84, 55, 186, 189, 192

Offset: 1

Author

Henry Bottomley, Jan 14 2002

Keywords

• nonn

Comments

a(n) has values in the range from sqrt(10n-1) to 3n (or, slightly weaker but prettier, in the range from 3*sqrt(n) to 3n).

Examples

			a(1)=3 because 3^2+4^2=(5*1)^2; a(2)=6 because 6^2+8^2=(5+2)^2; a(5)=7 since 7^2+24^2=(5*5)^2.
		

Crossrefs

Cf. A036842, A055527.

Extensions

Offset corrected by Sean A. Irvine, Nov 01 2023